Question
Question: Three digits are chosen at random from 1, 2, 3, 4, 5, 6, 7, 8 and 9 without repeating any digit. Wha...
Three digits are chosen at random from 1, 2, 3, 4, 5, 6, 7, 8 and 9 without repeating any digit. What is the probability that the product is odd?
A
5/108
B
5/42
C
2/3
D
7/48
Answer
5/42
Explanation
Solution
The product is odd if each chosen digit is odd. There are 5 odd digits (1, 3, 5, 7, 9).
- Total ways to choose any three digits: C(9,3) = 84.
- Favorable ways (all odd): C(5,3) = 10.
- Probability = 10/84 = 5/42.